Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21294cv |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
Δ |
-6.2891302177795E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17395709,-47278712347] |
[a1,a2,a3,a4,a6] |
Generators |
[10557:967126:1] |
Generators of the group modulo torsion |
j |
-75306487574989/81352871712 |
j-invariant |
L |
9.2885337448011 |
L(r)(E,1)/r! |
Ω |
0.035450946482469 |
Real period |
R |
2.620108816952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7098o4 21294z4 |
Quadratic twists by: -3 13 |